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Finding the Third Proportional to 127,708,190 and 280,138,230

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Solution

The third proportional to 127,708,190 and 280,138,230 is: 614,505,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,708,190 : 280,138,230 = 280,138,230 : x
  2. Step 2: Convert to fraction form
    127,708,190/280,138,230 = 280,138,230/x
  3. Step 3: Cross multiply
    127,708,190x = 280,138,230 × 280,138,230
  4. Step 4: Simplify right side
    127,708,190x = 78,477,427,907,532,896
  5. Step 5: Solve for x
    x = 78,477,427,907,532,896/127,708,190
  6. Step 6: Final answer
    x = 614,505,834.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.